Problem 3: Anchors for dental implants (25 marks) Titanium anchors that are implanted in the jaw bone are increasingly used as a means of replacing teeth that have been lost for one reason or another. In addition to regular dental anchors, Toothco also manufactures a special implantable dental anchor that is used when an implant will be very close to a nerve in the jaw. These special anchors differ from standard anchors in being shorter but of greater diameter. Sales have a seasonal component that results from "medical tourists" having expensive dental work done during the months of June, July and August when the monthly demand for short implants rises to 600 units per month from the normal 400 units per month in the rest of the ye Toothco has a production capacity of 500 short implants per month and a cost of production of $300 per unit. Toothco has the capability of producing an extra 75 short implants each month using over time at a cost of $350 per unit. The special implants are sold for $500 each. Toothco can carry inventory from one month to another but at a cost of $20 per implant per month. As of January 1, Toothco has 25 units in inventory. 1) Formulate a linear programming model to maximize profit for the short implants over eight months (to the end of August). 2) Set up a spreadsheet model. Use Solver to find the optimal solution. Be sure to include the Answer Report and Sensitivity report